Symmetry and Z_2-Orbifolding Approach in Five-dimensional Lattice Gauge Theory

Abstract

In a lattice gauge-Higgs unification scenario using a Z_2-orbifolded extra-dimension, we find a new global symmetry in a case of SU(2) bulk gauge symmetry. It is a global symmetry on sites in a fixed point with respect to Z_2-orbifolding, independent of the bulk gauge symmetry. It is shown that the vacuum expectation value of a Z_2-projected Polyakov loop is a good order parameter of the new symmetry. The effective theory on lattice is also discussed.

13 pages, 3 figures; refined the explanations

Cited by in corpus (11)

• The phase diagram of Yang-Mills theory with a compact extra dimension
• On the phase structure of five-dimensional SU(2) gauge theories with anisotropic couplings
• Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited
• Extra-dimensional models on the lattice
• Mean-Field Gauge Interactions in Five Dimensions II. The Orbifold
• RG flows in Non-Perturbative Gauge-Higgs Unification I
• Non-perturbative Gauge-Higgs Unification: Symmetries and Order Parameters
• Five-Dimensional Gauge-Higgs Unification: A Standard Model-Like Spectrum
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• Is the Higgs a sign of extra dimensions?
• Constrained Hybrid Monte Carlo algorithms for gauge-Higgs models